Monday, May 10, 2010

Monday, May 10th

Sixth Grade

Lesson 101 - Remember, proportions are just two equivalent ratios or fractions. That's it! Don't reduce. Just write the proportion as stated, or find the missing part of the proportion by using equivalent fractions just like you've always done.

Seventh Grade

Spelling - Unit 35 is due Friday. Be sure you get started on it! You will be doing the whole unit.

Grammar - pp. 228-230. Exercises B and C. Follow directions! Remember to leave out extra words and make the verb match the subject. Also, for exercise B, you have to name whether the verb is singular or plural. Remember that to do that, you look at the subject too - a verb isn't plural if it has an s on the end - it's plural if the subject was plural.

Literature - We read more of Tom Sawyer. No homework!

Math - Lesson 9-5. #2-12. For the problems on the front page, you are naming the congruent parts of polygons. Remember, the angle marks and tick marks identify congruent angles and sides. Here is an example:

To do the angle and line bisectors on the back page, remember to first draw the angle or line on your paper. (You can extend the angles to make it easier, but draw the lines the exact same length as in your book.)

For angles:

Use your compass and put the center of the circle (the little gold thing) on the vertex. Draw an arc across both rays of the angle. Then, take the center of circle on the compass on the point where the arc crosses one of the rays. Draw another arc, making sure you remember what hole you put your pencil in. Then, put the circle on the compass on the other ray where the first arc crossed and draw one more arc. This should cross the second arc you drew. Then, draw a ray connecting the vertex of the original angle with the point at which the two arcs cross. Here is what it will look like:


For drawing a perpendicular bisector, remember to draw a large arc from each endpoint of the line segment. Where the two arcs cross above and below the line segment is where you draw your perpendicular line. Here is what it will look like:


Eighth Grade

Lesson 12-6, #2-6, #11-17. You are finding the volume of pyramids and cones. The formula is:

Area of the base x height divided by 3.

First, you need to identify what the base is. Remember, on three dimensional shapes, the base is talking about the flat surface on the bottom - NOT one of the edges. You will be working with three different shapes. Rectangular or square based pyramids; triangular based pyramids, and cones. For rectangular and square based pyramids, it is VERY easy. The area of a rectangle is just length times width. Then you'd just multiply by the height of the pyramid and divide by 3.
The area of a square is just side times side...so then multiply by the height of the pyramid and divide by 3.

Triangular pyramids are little trickier. The base is a triangle so you have to first find the area of the triangular base. Remember that to find the area of a triangle, you multiply base x height and divide by 2. Then, you'd multiply by the height of the pyramid and then divide by three. Here is an example. The shaded part shows the base of the pyramid:



I'll give you one other example - finding the volume of a cone. Again, the shaded portion shows the base. Remember the formula: area of the base x height divided by 3.